GCF of 6380/988, 7875/2963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6380/988, 7875/2963 i.e 5/2927444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6380/988, 7875/2963.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6380/988,7875/2963?
Given fractions are 6380/988,7875/2963
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6380/988,7875/2963, numerators are 6380,7875
Denominators are 988,2963
The GCF of 6380,7875 is 5 .
LCM of 988,2963 is 2927444.
The greatest common factor of 6380/988,7875/2963 = [GCF of 6380,7875]/[LCM of 988,2963]= 5/2927444
Therefore, the GCF of 6380/988,7875/2963 is 5/2927444.
To find the highest common factor of 6380,7875, we have to find the factors of both numbers and list the highest common factor.
The factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380
The factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875
The HCF of 6380,7875 is 5.
Lets's calculate GCF of 6380,7875
| 5 | 6380, 7875 |
| 1276, 1575 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6380,7875 By Matching Biggest Common Factor Method
Now, list down the factors of 6380
:1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380
Now, list down the factors of 7875
:1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Greatest Common Factor
We found the factors 6380,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 6380,7875 is 5.
Lets's calculate LCM of 988,2963
Given numbers has no common factors except 1. So, there LCM is their product i.e 2927444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2927444
Therefore, the GCF of Fractions 6380/988,7875/2963 is 5/2927444
Least Common Multiple of 988,2963 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 988,2963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,2963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,2963) x common factors =1 x 1 = 1
LCM(988,2963) = ( 988 × 2963 ) / 1
LCM(988,2963) = 2927444 / 1
LCM(988,2963) = 2927444
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FAQs on GCF of Fractions of 6380/988, 7875/2963
1. What is the HCF of 6380,7875?
The HCF of 6380,7875 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6380/988, 7875/2963?
Answer: GCF of Numerators as per given numbers 6380/988, 7875/2963 is
GCF of Numerators i.e. for 6380,7875 is 5
LCM of denominators i.e. for 988,2963 is 2927444.
Thus, GCF of Fractions is 5/2927444.Finally, GCF of Fractions for 6380/988, 7875/2963 is 5/2927444.